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Finding the Fourth Proportional to 259.25, 357.89 and 161.06

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Solution

The fourth proportional to 259.25, 357.89 and 161.06 is: 222.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.25 : 357.89 = 161.06 : x
  2. Step 2: Convert to fraction form
    259.25/357.89 = 161.06/x
  3. Step 3: Cross multiply
    259.25x = 357.89 × 161.06
  4. Step 4: Simplify right side
    259.25x = 57,641.76
  5. Step 5: Solve for x
    x = 57,641.76/259.25
  6. Step 6: Final answer
    x = 222.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.